5 edition of New methods and results in non-linear field equations found in the catalog.
Includes bibliographical references.
|Statement||Ph. Blanchard, J.P. Dias, J. Stubbe (eds.).|
|Series||Lecture notes in physics ;, 347|
|Contributions||Blanchard, Philippe., Dias, J. P. 1944-, Stubbe, J. 1959-|
|LC Classifications||QC20.7.N6 N49 1989|
|The Physical Object|
|Pagination||v, 133 p. ;|
|Number of Pages||133|
|LC Control Number||89026243|
The Homotopy Perturbation Method (HPM) applied by many authors Siddiqui et al., ;Wahab et al., ;Wahab et al., ), to find the solution of nonlinear problems in the field of . The differential equations we consider in most of the book are of the form Y′(t) = f(t,Y(t)), where Y(t) is an unknown function that is being sought. The given function f(t,y) of two variables deﬁnes the differential equation, and exam ples are given in Chapter 1. This equation is called a ﬁrst-order differential equation because it.
Linear non-homogeneous impulsive equations. Notes and comments for Chapter II. Method of the Small Parameter. Non-critical Case. Quasilinear equations with fixed moments of an impulsive effect. Non-linear equations with unfixed moments of an impulse effect. Non-linear autonomous equations. Notes and comments for Chapter III. Method of the Small. The problem of solving non-linear equations arises frequently and naturally from the study of a wide range of practical problems. The problem may involve one or a system of non-linear equations in many variables. In this chapter, general methods of solving non-linear equations are presented, together with specific methods for polynomial equations.
Some classical methods, including forward and backward Euler method, im-proved Euler method, and Runge-Kutta methods, are presented in Chapter 10 for numericalsolutionsof ordinarydifferentialequations. In Chap the method of separation of variables is applied to solve partial differential equations. In Math , we focused on solving nonlinear equations involving only a single vari-able. We used methods such as Newton’s method, the Secant method, and the Bisection method. We also examined numerical methods such as the Runge-Kutta methods, that are used to solve initial-value problems for ordinary di erential equations. However these.
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New Methods and Results in Non-linear Field Equations Proceedings of a Conference Held at the University of Bielefeld, Federal Republic of Germany, 7–10 July Editors: Blanchard, Philippe, Dias, Joao-Paulo, Stubbe, Joachim (Eds.) Free Preview. New Methods and Results in Non-linear Field Equations Proceedings of a Conference Held at the University of Bielefeld, Fed.
Rep. of Germany, 7–10 July New Methods and Results in Non-Linear Field Equations. Publisher: Guildford: Springer London Mitcham, VIC, Australia: Central Book Services New Zealand [distributor] July New Methods and Results in Non-linear Field Equations: Proceedings of a Conference Held at the University of Bielefeld, Fed.
Rep. of Germany, July [Philippe Blanchard; Joao-Paulo Dias; Joachim Stubbe;] -- Some remarks on stochastically perturbed (Hamiltonian) systems -- Stability of ground states for nonlinear classical field theories. New methods and results in non-linear field equations: proceedings of a conference held at the University of Bielefeld, Fed.
Rep. of Germany, July Author: Philippe Blanchard ; J P Dias ; J Stubbe. New methods and results in non-linear field equations: proceedings of a conference held at the University of Bielefeld, Fed. Rep. of Germany, July [Philippe Blanchard; J P Dias; J Stubbe;] -- Quantum effects may be modelled by means of stochastic perturbation of non-linear partial differential (field) equations.
New methods and results in non-linear field equations: proceedings of a conference held at the University of Bielefeld, Fed. Rep.
of Germany, July Author: Philippe Blanchard ; Jõao-Paulo de Carvalho Dias ; Joachim Stubbe. Abstract In the present paper a new approximate analytical method, the homotopy perturbation and natural transform method namely HPNT is introduced that is blend of the homotopy perturbation method.
Iterative Solution of Nonlinear Equations in Several Variables provides a survey of the theoretical results on systems of nonlinear equations in finite dimension and the major iterative methods for their computational solution.
Originally published init offers a research-level presentation of the principal results known at that time. Handbook of Numerical Methods for the Solution of Algebraic and Transcendental Equations provides information pertinent to algebraic and transcendental equations.
This book indicates a well-grounded plan for the solution of an approximate equation. Organized into six chapters, this book begins with an overview of the solution of various equations. Cite this paper as: Ginibre J., Velo G.
() Conformal invariance and time decay for nonlinear wave equations. In: Blanchard P., Dias JP., Stubbe J. (eds) New Methods and Results in Non-linear Field Equations.
New Methods and Results in Non-linear Field Equations pp | Cite as A note on solutions of two-dimensional semilinear elliptic vector-field equations with strong nonlinearity Authors. A method for finding a solution of the equation f(x) = 0 is presented. The method is based on some specially derived quadrature rules.
It is shown that the method can give better results. Voltages and currents in circuits containing only a few nonlinear circuit elements may be found using graphical methods for solving nonlinear equations that describe the behavior of the circuit.
A simple nonlinear circuit consistingof a constant voltage source, a linear resistor, and an exponential diode is shown in Figure Circuit equations can be solved using a graphical method.
Impulsive differential equations have been the subject of intense investigation in the last years, due to the wide possibilities for their application in numerous fields of science and technology.
This new work presents a systematic exposition of the results solving all of the more important problems in this field. Solving Systems of Non-linear Equations. A “system of equations” is a collection of two or more equations that are solved usly, I have gone over a few examples showing how to solve a system of linear equations using substitution and elimination methods.
It is considered a linear system because all the equations in the set are lines. Cite this paper as: Cazenave T., Weissler F.B. () Some remarks on the nonlinear Schrödinger equation in the subcritical case.
In: Blanchard P., Dias JP., Stubbe J. (eds) New Methods and Results in Non-linear Field Equations. “The authors present an in-depth account of the state of the art in the field. The book presents in a self-contained and comprehensive manner all necessary analytical tools as well as a wealth of applications.
Many of the results included in this volume are either available for the first time in book form or are even entirely new. Preface for the special issue on “Nonlinear Analysis and Partial Differential Equations”: In honor of Professor Shair Ahmad on the occasion of his 85th birthday and retirement The role of planar symmetry and of symmetry constraints in the proof of existence of solutions to some scalar field equations.
Giuseppe Devillanova, Sergio. Cite this paper as: Ginibre J., Velo G. () The Cauchy problem for the non-linear Klein-Cordon equation. In: Blanchard P., Dias JP., Stubbe J. (eds) New Methods and Results in Non-linear Field Equations.
'This new book by Peter Hydon is eminently suitable for advanced undergraduates and beginning postgraduate students Overall I thoroughly recommend this book and believe that it will be a useful textbook for introducing students to symmetry methods for differential equations.' Source: Journal of Nonlinear Mathematical Physics.Description.
A new edition of this classic work, comprehensively revised to present exciting new developments in this important subject. The study of numerical methods for solving ordinary differential equations is constantly developing and regenerating, and this third edition of a popular classic volume, written by one of the world’s leading experts in the field, presents an .A new method of solving third-order ordinary complex differential equations (OCDEs) by generalizing Prelle-Singer.
The idea which is a procedure for finding the solution for second-order.